绝对节点坐标列式实体梁单元建模方法及应用  

Modelling method and application of solid beam element based on absolute nodal coordinate formulation

作　　者：马超[1] 魏承[1] 赵阳[1] 王然[1] 

机构地区：[1]哈尔滨工业大学航天工程系,哈尔滨150001

出　　处：《航空学报》2015年第10期3316-3326,共11页Acta Aeronautica et Astronautica Sinica

基　　金：国家"973"计划(2013CB733004);国防重点学科开放基金(HIT.KLOF.MST.201508);哈尔滨工业大学科研创新基金(HIT.NSRIF.201515)~~

摘　　要：在多体系统动力学建模方法中,传统非等参梁单元的建模方法主要基于Euler-Bernoulli梁或Timoshenko梁理论,无法准确描述截面变形;而传统绝对节点坐标列式索梁单元虽然能够准确描述截面变形,但需引入额外描述及处理闭锁问题;与上述单元不同,绝对节点坐标列式实体单元可以通过节点坐标直接描述截面变形,避免单元变形带来的闭锁问题。本文在实体单元方法基础上,首次提出了考虑单元连续性条件和黏弹性阻尼模型的绝对节点坐标列式实体梁单元,并使用实体梁单元实现了对多体系统的建模。仿真结果表明,对比传统有限单元及绝对节点坐标列式单元,实体梁单元能够更好地表征柔性梁的非线性特性,满足大变形柔性计算的需求。In the multibody system dynamics formulations,the modeling of classical non-isoparametric beam element is mainly based on the Euler-Bernoulli and Timoshenko beam theories,which cannot accurately describe the deformation of the beam cross section.Although the absolute node coordinate formulation beam element is able to achieve section description,it is necessary to introduce additional description frames and deal with series locking problems.Different from the elements mentioned above,the absolute nodal coordinate formulation solid element directly describes the section deformation through the node coordinates without the locking problems.Based on the solid element,the absolute nodal coordinate solid beam element considering the continuity condition and internal viscoelastic damping,has been provided and achieved for the first time.With the solid beam element,the modelling of a multibody system is realized.According to numerical simulations,it is able to obtain some nonlinearity results with solid beam element and the precision is much higher than traditional finite element and absolute nodal coordinate formulation element.

关 键 词：多体系统动力学 绝对节点坐标列式 连续性条件 几何非线性 内阻尼模型 

分 类 号：V414.3[航空宇航科学与技术—航空宇航推进理论与工程] O313.7[理学—一般力学与力学基础]